Details

sample80.0ms

Algorithm

intervals

Results

35.0ms	761×	body	80	nan
13.0ms	260×	body	80	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log t) (+ y z))
0.1b	(fma (log y) x (- (log t) (+ y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `fma-udef` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

7.0ms	(- (log t) (+ y z))
1.0ms	(fma (log y) x (- (log t) (+ y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (log t) (+ y z))
54.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	242	500
1	768	348
2	4200	307
3	5001	307

prune117.0ms

Filtered

60 candidates to 36 candidates (60.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.1b

Counts

61 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
6.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
321.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
313.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	393	1346
1	1556	1220
2	5001	1117

prune336.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
6.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
2.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
325.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
321.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
321.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	687	1470
1	2678	1352
2	5002	1258

prune411.0ms

Filtered

94 candidates to 74 candidates (78.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
2.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
2.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
324.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
334.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
319.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	370	1116
1	1225	1010
2	5002	982

prune526.0ms

Filtered

66 candidates to 62 candidates (93.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

regimes273.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	23560×	body	80	nan
425.0ms	8036×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid